Question

Determine the point(s) at which the given function f(x) is continuous. f(x)=|8x-3|+6sin(2x)
The answer is (-infinity,infinity).
Anyone know how to get this answer?

Answer 1

Hard to really give a mathematical explanation. Basically it's just that there are no points of discontinuity. No way to divide by zero, or take the square root of a negative number It doesn't switch signs or equal infinity anywhere besides infinity. It's not a piecewise function.

Answer 2

Thank you. I guessed at the answer and got it right, but thought I should understand why it was right.